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444003222401 is a prime number
BaseRepresentation
bin1100111011000001010…
…01111000001110000001
31120110001100101200020122
412131200221320032001
524233304311104101
6535550001550025
744035546056104
oct6354051701601
91513040350218
10444003222401
11161334275702
1272073945315
1332b3bb9cc4b
14176c02c273b
15b839a9051b
hex6760a78381

444003222401 has 2 divisors, whose sum is σ = 444003222402. Its totient is φ = 444003222400.

The previous prime is 444003222371. The next prime is 444003222427. The reversal of 444003222401 is 104222300444.

It is a happy number.

It is an a-pointer prime, because the next prime (444003222427) can be obtained adding 444003222401 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 439570326001 + 4432896400 = 663001^2 + 66580^2 .

It is a cyclic number.

It is not a de Polignac number, because 444003222401 - 218 = 444002960257 is a prime.

It is not a weakly prime, because it can be changed into another prime (444003222301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222001611200 + 222001611201.

It is an arithmetic number, because the mean of its divisors is an integer number (222001611201).

Almost surely, 2444003222401 is an apocalyptic number.

It is an amenable number.

444003222401 is a deficient number, since it is larger than the sum of its proper divisors (1).

444003222401 is an equidigital number, since it uses as much as digits as its factorization.

444003222401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 444003222401 its reverse (104222300444), we get a palindrome (548225522845).

The spelling of 444003222401 in words is "four hundred forty-four billion, three million, two hundred twenty-two thousand, four hundred one".